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**YOU CAN locate and graph points on the coordinate plane.**

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**The two number lines are called the axes.**

A coordinate plane is formed by two number lines in a plane that intersect at right angles. The two number lines are called the axes.

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**The horizontal axis is called the x-axis.**

A coordinate plane is formed by two number lines in a plane that intersect at right angles. The horizontal axis is called the x-axis.

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**The vertical axis is called the y-axis.**

A coordinate plane is formed by two number lines in a plane that intersect at right angles. The vertical axis is called the y-axis.

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**The two axes divide the coordinate plane into four quadrants.**

A coordinate plane is formed by two number lines in a plane that intersect at right angles. The two axes divide the coordinate plane into four quadrants.

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**The point where the axes intersect is called the origin.**

A coordinate plane is formed by two number lines in a plane that intersect at right angles. The point where the axes intersect is called the origin.

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**Identifying Quadrants**

Name the quadrant where each point is located. A. X B. Y C. S Quadrant IV Quadrant III Quadrant II

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**Name the quadrant where each point is located.**

YOU TRY! Example 1 Name the quadrant where each point is located. A. V B. Z C. T Quadrant I y-axis no quadrant Quadrant IV Helpful Hint Points on the axes are not in any quadrant.

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**The COORDINATE (x, y) gives the location of a point on a coordinate plane.**

First number (x-coordinate): right (positive) or left (negative) from origin Second number (y-coordinate) : up (positive) or down (negative) from origin The ordered pair for the origin is (0,0).

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**Locating Points on a Coordinate Plane **

Give the coordinates of each point. X 4 units RIGHT, and 1 unit DOWN. (4, –1) Y 2 units LEFT, and 3 units DOWN. (–2, –3)

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**Locating Points on a Coordinate Plane **

Give the coordinates of each point. S 3 units LEFT, and 3 units UP. (-3, 3) Z 0 units RIGHT, and 4 units UP. (0, 4)

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**Give the coordinates of each point. T**

YOU TRY! Example 2 Give the coordinates of each point. T 1 units RIGHT and 3 units DOWN. (1, -3) V 4 units RIGHT, and 2 units UP. (4, 2)

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**Graphing Points on a Coordinate Plane **

Graph each point on a coordinate plane. A. V(4, 2) B. W(–3, 1) x y From the origin, move 4 units right, and 2 units up. 4 V W 2 – – –2 From the origin, move 3 units left, and 1 unit up. –4

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**Graphing Points on a Coordinate Plane **

Graph each point on a coordinate plane. C. Z(0, -4) D. T(1, –3) x y From the origin, move 0 units right, move 4 units down. 4 2 – – –2 T From the origin, move 1 unit right, and 3 units down. –4 Z

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**Graph each point on a coordinate plane. L(3, 4)**

YOU TRY! Example 3 Graph each point on a coordinate plane. L(3, 4) B. M(–3, –3) C. P(1, –2) D. G(–4, –2) x y L 4 2 – – G –2 P M –4

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Reflection CAN YOU locate and graph points on the coordinate plane?

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Lesson Quiz Name the quadrant where each ordered pair is located. 1. (3, –5) 2. (–4, –2) 3. (6, 2) 4. (–7, 9) Give the coordinates of each point. 5. A 6. B 7. C 8. D IV III I II (–2, 3) (1, 2) (0, –2) (–2, –3)

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HOMEWORK WORKSHEET 9-3

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